Chinese Remainder Theorem

Solve system of congruences x≡a1 mod m1, x≡a2 mod m2 when moduli are pairwise coprime. Unique solution modulo M=m1×m2×...×mk.

 
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Physical Constants Reference
ConstantSymbolValue
Speed of lightc2.99792458×10⁸
Planck's constanth6.62607015×10⁻³‴
Boltzmann constant1.380649×10⁻²³
Avogadro's numberNₐ6.02214076×10²³
Gravitational constantG6.6743×10⁻¹¹
Gas constantR8.31446
Elementary chargee1.602176634×10⁻¹⁹
Electron massmₑ9.1093837015×10⁻³¹
Proton massmₚ1.67262192369×10⁻²⁷
Fine-structure constantα7.2973525693×10⁻³
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How to Use

Enter the values for the scenario you are assessing. Solve system of congruences x≡a1 mod m1, x≡a2 mod m2 when moduli are pairwise coprime. Unique solution modulo M=m1×m2×...×mk. Use the crt solver result to inform your calculation.

Frequently Asked Questions